Recent developments in applied mathematics and mechanics: theory, experiment and practice. Devoted to the 80th anniversary of academician N.N.Yanenko

Akademgorodok, Novosibirsk, Russia, June 24 - 29, 2001

Abstracts

Novosibirsk participants

Voluntary filtration flows and their mathematical models

Emikh V.N.

M.A.Lavrentjev Institute of Hydrodynamics SB RAS (Novosibirsk)

The boundary value problems of two-dimensional free-boundary filtration describe flows under study at certain restrictions. From the hydrodynamical viewpoint the latter designate some limiting situations beyond the scope of which the modelled flow sceme either transformates to another one or reaches the limits of its resources on the verge of destabilization of flow. In the second case the boundary value problem conserves on the continuation of its solution nothing more than the physical content envelope which may be filled only in an extended statement of the problem. The presented approach has been realized in the solution a number of concrete mentioned type problems.

Full Text in Russian: PDF (544 kb)
Note. Abstracts are published in author's edition

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